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Finding the Third Proportional to 361,639 and 787,568

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Solution

The third proportional to 361,639 and 787,568 is: 1,715,145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,639 : 787,568 = 787,568 : x
  2. Step 2: Convert to fraction form
    361,639/787,568 = 787,568/x
  3. Step 3: Cross multiply
    361,639x = 787,568 × 787,568
  4. Step 4: Simplify right side
    361,639x = 620,263,354,624
  5. Step 5: Solve for x
    x = 620,263,354,624/361,639
  6. Step 6: Final answer
    x = 1,715,145.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.